{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial 9b - Thorlabs Catalogue"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "nbsphinx-toctree"
    ]
   },
   "source": [
    "### August 2024"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This tutorial shows how to retrieve optical components from the [Thorlabs](https://www.thorlabs.com/) lens catalogue. Building on the previous tutorial, we will show:\n",
    "\n",
    "- How to retrieve a lens model directly from the Thorlabs website\n",
    "- How to modify the lens properties after retrieval"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "from optiland import analysis\n",
    "from optiland.fileio import load_zemax_file"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "File retrieval\n",
    "\n",
    "As mentioned in the previous tutorial, the `load_zemax_file` function can accept either a Zemax (.zmx) file directly or a URL link to the file. Here, we will use the a [Thorlabs Matched Achromatic Pair Lens](https://www.thorlabs.com/thorproduct.cfm?partnumber=MAP051950-A) and we will pass the URL directly to ZemaxFileReader. Optiland will download the file prior to reading the .zmx file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# link to the .zmx file on Thorlabs website\n",
    "url = \"https://www.thorlabs.com/_sd.cfm?fileName=20565-S03.zmx&partNumber=MAP051950-A\"\n",
    "\n",
    "lens = load_zemax_file(url)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We then draw the lens."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's print an overview of the lens data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+----+---------------+----------+-------------+------------+---------+-----------------+\n",
      "|    | Type          |   Radius |   Thickness | Material   |   Conic |   Semi-aperture |\n",
      "|----+---------------+----------+-------------+------------+---------+-----------------|\n",
      "|  0 | Planar        |   inf    |    16.3412  | Air        |       0 |        0.413735 |\n",
      "|  1 | Standard      |    59.26 |     1.5     | N-SF6HT    |       0 |        4.633    |\n",
      "|  2 | Standard      |    11.04 |     4.5     | N-BAF10    |       0 |        4.73714  |\n",
      "|  3 | Standard      |   -12.94 |     2       | Air        |       0 |        5.23109  |\n",
      "|  4 | Stop - Planar |   inf    |     1.98331 | Air        |       0 |        5.05599  |\n",
      "|  5 | Standard      |    27.36 |     3.5     | N-BK7      |       0 |        5.19763  |\n",
      "|  6 | Standard      |   -22.54 |     1.5     | SF2        |       0 |        5.13588  |\n",
      "|  7 | Standard      |   -91.83 |    41.7305  | Air        |       0 |        5.13866  |\n",
      "|  8 | Planar        |   inf    |   nan       | Air        |       0 |        3.75398  |\n",
      "+----+---------------+----------+-------------+------------+---------+-----------------+\n"
     ]
    }
   ],
   "source": [
    "lens.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lens Analysis\n",
    "\n",
    "Let's plot the nominal spot diagram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "spot = analysis.SpotDiagram(lens)\n",
    "spot.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The lens is designed for finite conjugate applications. As an exercise, let's monitor the RMS spot size as a function of the object position. As we shift the object plane, we will reposition the image plane to the paraxial image location. We will use the on-axis field point (index=0) and the central wavelength (index=1)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# we will shift the object plane by ±3.0 mm from the nominal location\n",
    "dz = np.linspace(-3.0, 3.0, 64)\n",
    "\n",
    "# thickness between the object surface and the first lens surface\n",
    "thickness = dz + 16.3412  # nominal location = 16.3412 mm\n",
    "\n",
    "# set the wavelength and field indices\n",
    "wavelength_idx = 1\n",
    "field_idx = 0\n",
    "\n",
    "# initialize variables\n",
    "rms_spot_radius = []\n",
    "\n",
    "for z in thickness:\n",
    "    # change thickness on the first surface\n",
    "    lens.set_thickness(value=z, surface_number=0)\n",
    "\n",
    "    # move image plane to maintain focus\n",
    "    lens.image_solve()\n",
    "\n",
    "    # generate spot diagram data\n",
    "    spot = analysis.SpotDiagram(lens)\n",
    "\n",
    "    # calculate RMS spot radius\n",
    "    rms_spot_radius.append(spot.rms_spot_radius()[field_idx][wavelength_idx])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dz, rms_spot_radius)\n",
    "plt.xlabel(\"Object plane shift (mm)\")\n",
    "plt.ylabel(\"RMS Spot Radius (mm)\")\n",
    "plt.title(\"RMS Spot Radius vs. Object Plane Shift\")\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Conclusions\n",
    "\n",
    "- This tutorial showed how to retrieve and analyze a Thorlabs catalogue lens.\n",
    "- We modified the lens properties and assessed the RMS spot size of the on-axis field as a function of the object plane shift. We compensated for the object shift by repositioning the image plane to the paraxial image location."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
